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3 years ago

11

Please help me with this

2 answers:

SpyIntel [72]3 years ago

8 0

Answer:

D. I did the math on my calculator

Igoryamba3 years ago

5 0

Answer:

D. $\sqrt{250}$

Step-by-step explanation:

First, use prime factorization of 250 to get $\sqrt{2*5^3}$

Then apply the exponent rule, $a^{b+c} =a^{b}*a^{c}$

= $\sqrt{2*5^2*5} }$

Apply radical rule: $\sqrt{ab}= \sqrt{a} \sqrt{b}, a\geq 0, b\geq 0$

= $\sqrt{5^{2}} \sqrt{2*5}$

Apply radical rule: $\sqrt{a^{2}} =a, a\geq 0$

=5 $\sqrt{2*5}$

=5 $\sqrt{10}$

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The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How

Monica [59]

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

$Sin\theta =\frac{Perpendicular}{Hypotenuse}$

$Sin22.3^{\circ} =\frac{AB}{AC}$

$AC=\frac{2600}{Sin22.3^{\circ}}$

$AC=\frac{2600}{0.379456159529}$

$AC=6851.9$

So, riders travel 6852 feet .

3 0

3 years ago

Read 2 more answers

Make x the subject of the formula for Q20.

saul85 [17]

Answer:

$x = \sqrt{m(\frac{a}{b})^{2} +n }$

Step-by-step explanation:

$a\sqrt{(\frac{x^{2} - n }{m}) } = \frac{a^{2} }{b}$

$\sqrt{\frac{x^{2} - n }{m} } = \frac{a}{b}$ [Divide both sides by $a$ ]

$\frac{x^{2} - n}{m} = (\frac{a}{b} )^{2}$ [Square both sides]

$x^{2} -n = m(\frac{a}{b} )^{2}$ [Multiply both sides by m]

$x^{2} =m(\frac{a}{b} )^{2} + n$ [Bring n to the right]

$x = \sqrt{m(\frac{a}{b})^{2} +n }$ [Square root both sides]

7 0

3 years ago

Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and

Monica [59]

Step-by-step explanation:

We have got the lines :

$y=ax+b\\y=cx+d$

Both lines intercept the x-axis in the point :

$I = (i_{1} ,i_{2})$

In all point from x-axis the y-component is equal to 0.

$I=(i_{1},o)$

We replace the I point in the lines equations:

$0=a(i_{1})+b \\0=c(i_{1})+d$

From the first equation :

$0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}$

From the second equation :

$0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}$

Then $i_{1}=i_{1}$

Finally :

$\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc$

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0

3 years ago

A circle has an area of 80 square centimeters. Which answer is closest to the measure if its radius?

Sedbober [7]

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3 years ago

Write a multipication equation that represents the question: how many 3/8 can go in 5/4. need an answer plzzzz

monitta

5/4 = 10/8, so the question is how many times 3/8 can go into 10/8 and you can remove the denominator since it is equal so now the question is how many times does 3 go into 10 which is 10/3 times. You would be able to represent this by x = 10/3

6 0

3 years ago

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